?? hj.m
字號:
?
+
function root=hj(f,a,b,eps)
if(nargin==3)
eps=1.0e-4;
end
f1=subs(sym(f),findsym(sym(f)),a);
f2=subs(sym(f),findsym(sym(f)),b);
if(f1==0)
root=a;
end
if(f2==0)
root=b;
end
if(f1*f2>0)
disp('兩端點函數值乘積大于0!');
return;
else
t1=a+(b-a)*0.382;
t2=a+(b-a)*0.618;
f_1=subs(sym(f),findsym(sym(f)),t1);
f_2=subs(sym(f),findsym(sym(f)),t2);
tol=abs(t1-t2);
while(tol>eps) %精度控制
if(f_1*f_2<0)
a=t1;
b=t2;
else
fa=subs(sym(f),findsym(sym(f)),a);
if(f_1*fa>0)
a=t2;
else
b=t1;
end
end
t1=a+(b-a)*0.382;
t2=a+(b-a)*0.618;
f_1=subs(sym(f),findsym(sym(f)),t1);
f_2=subs(sym(f),findsym(sym(f)),t2);
tol=abs(t2-t1);
end
root=(t1+t2)/2; %輸出根
end
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